these threads are very fun, it is easy to move tanks and not have any cycle, you are introducing a few variables to add to the move but its not hard. The cycle focus w be on the rocks you are adding from the new source, not the ones from your tank. I just did an entire tank clean out with no cycle on my 9 yr old reef, it is very easy to control and stop and predict recycling. The prime way to do that is to not use an API ammonia test kit to judge cycling
The sand you are working with is your mini cycle or cycle risk, and just like my tank you are changing it all out so that's perfect, moving around organically loaded sand is the real risk, not the live rock. your live rock and animals and corals will not die simply by moving to new water.
The sand switch out isn't the critical bacterial loading for nitrification, its in excess of what the rock provides, and some bagged sand like caribsea wet pack minimizes that issue anway, its terribly easy to keep nitrifiers alive inside any aqueos soln used by an expiration date.
my main take on your impending move is keep the rocks you are xferring wet as possible, swap the sand, and control the types of rocks you will be inputting in addition to stop their cycle as well:
dry rock wont cause a cycle, it will start uptaking bacteria and benthics from the other surfaces onto it
real reef rock is fine if it comes with verifiable live animals on it, fanworms, real not painted coralline etc, that we might have to watch out for since you don't know its origin or how those animals held up in shipping
cured rock from a pet store is easy to bring home with no cycle, every tank ive ever put online was that method, we just transport that rock home wet instead of dry and there is no cycle. each time, if it was truly cured from the lfs.